106185260249 has 2 divisors, whose sum is σ = 106185260250. Its totient is φ = 106185260248.

The previous prime is 106185260239. The next prime is 106185260257. The reversal of 106185260249 is 942062581601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105924211600 + 261048649 = 325460^2 + 16157^2 .

It is a cyclic number.

It is not a de Polignac number, because 106185260249 - 2²⁰ = 106184211673 is a prime.

It is a super-3 number, since 3×106185260249³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106185260239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53092630124 + 53092630125.

It is an arithmetic number, because the mean of its divisors is an integer number (53092630125).

Almost surely, 2^106185260249 is an apocalyptic number.

It is an amenable number.

106185260249 is a deficient number, since it is larger than the sum of its proper divisors (1).

106185260249 is an equidigital number, since it uses as much as digits as its factorization.

106185260249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 106185260249 in words is "one hundred six billion, one hundred eighty-five million, two hundred sixty thousand, two hundred forty-nine".